AP EAMCET · Maths · Pair of Lines
If A \((1,0,2), \mathrm{B}(2,1,0), \mathrm{C}(2,-5,3), \mathrm{D}(0,3,2)\) are four points and the point of intersection of the lines AB and CD is \(\mathrm{P}(a, b, c)\), then \(a+b+c=\)
- A \(3\)
- B \(-5\)
- C \(5\)
- D \(-3\)
Answer & Solution
Correct Answer
(A) \(3\)
Step-by-step Solution
Detailed explanation
\(\mathrm{A}(1,0,2), \mathrm{B}(2,1,0), \mathrm{C}(2,-5,3), \mathrm{D}(0,3,2)\) Eq. of line AB is \(\frac{x-1}{1}=\frac{y}{1}=\frac{z-2}{-2}=\lambda\) ....(i) Eq. of line CD is \(\frac{x-2}{-2}=\frac{y+5}{8}=\frac{z-3}{-1}=\mu\) ....(ii)…
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